# Introduction To Proof Assignment And Quiz

## Unlock all answers in this set

question
Which statement is true about the diagram?
∠BEA ≅ ∠BEC
question
Segment AB is congruent to segment AB. This statement shows the _____ property
reflexive
question
Given that RT ≅ WX, which statement must be true?
RT + TW = WX + TW
question
A two-column proof
contains a table with a logical series of statements and reasons that reach a conclusion.
question
Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?
AK + BK = AC
question
What is the missing justification?
transitive property
question
Given that ∠CEA is a right angle and EB bisects ∠CEA, which statement must be true?
m∠CEB = 45°
question
Given that ∠ABC ≅ ∠DBE, which statement must be true?
∠ABD ≅ ∠CBE
question
Which statement is true about the diagram?
K is the midpoint of AB.
question
Given that BA bisects ∠DBC, which statement must be true?
m∠ABD = m∠ABC
question
Name the three different types of proofs you saw in this lesson. Give a description of each.
One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof.
question
Which property is shown? If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
symmetric property
question
EB bisects ∠AEC. What statements are true regarding the given statement and diagram?
∠CED is a right angle. ∠CEA is a right angle. m∠CEB = m∠BEA m∠DEB = 135°
question
Given: m∠ABC = m∠CBD Prove: BC bisects ∠ABD. Justify each step in the flowchart proof.
A: given B: definition of congruent C: definition of bisect
question
Describe the main parts of a proof.
Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
question
Given: EB bisects ∠AEC. ∠AED is a straight angle. Prove: m∠AEB = 45° Complete the paragraph proof. We are given that EB bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures __° degrees. Since the measure of a straight angle is 180°, the measure of angle ______ must also be 90° by the _____. A bisector cuts the angle measure in half. m∠AEB is 45°.